Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-03-14
Phys.Rev.D83:125026,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 5 figures, uses revtex4
Scientific paper
10.1103/PhysRevD.83.125026
We study the effective potential of a real scalar phi^4 theory as a function of the temperature T within the simplest Phi-derivable approximation, namely the Hartree approximation. We apply renormalization at a "high" temperature T* where the theory is required to be in its symmetric phase and study how the effective potential evolves as the temperature is lowered down to T=0. In particular, we prove analytically that no second order phase transition can occur in this particular approximation of the theory, in agreement with earlier studies based on the numerical evaluation or the high temperature expansion of the effective potential. This work is also an opportunity to illustrate certain issues on the renormalization of Phi-derivable approximations at finite temperature and non-vanishing field expectation value, and to introduce new computational techniques which might also prove useful when dealing with higher order approximations.
Reinosa Urko
Szép Zsolt
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